Mathematics of Discrete Structures for Computer Science

Between 1940 and 1970 pioneers in the new field of cell biology discovered the operative parts of cells and their contributions to cell life. They offered mechanistic accounts that explained cellular phenomena by identifying the relevant parts of cells, the biochemical operations they performed, and the way in which these parts and operations were organised to accomplish important functions. Cell biology was a revolutionary science but in this book it also provides fuel for yet another revolution, one that focuses on the very conception of science itself. Laws have traditionally been regarded as the primary vehicle of explanation, but in the emerging philosophy of science it is mechanisms that do the explanatory work. Bechtel emphasises how mechanisms were discovered, focusing especially on the way in which new instruments made these inquiries possible. He also describes how new journals and societies provided institutional structure to this new enterprise.

Between 1940 and 1970 pioneers in the new field of cell biology discovered the operative parts of cells and their contributions to cell life. They offered mechanistic accounts that explained cellular phenomena by identifying the relevant parts of cells, the biochemical operations they performed, and the way in which these parts and operations were organised to accomplish important functions. Cell biology was a revolutionary science but in this book it also provides fuel for yet another revolution, one that focuses on the very conception of science itself. Laws have traditionally been regarded as the primary vehicle of explanation, but in the emerging philosophy of science it is mechanisms that do the explanatory work. Bechtel emphasises how mechanisms were discovered, focusing especially on the way in which new instruments made these inquiries possible. He also describes how new journals and societies provided institutional structure to this new enterprise.

Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing detailed examples of applications, as well as covering the fundamental underlying theory, including chapters on interpolation and approximation, Cholesky and Schur operations on kernels, and vector-valued spaces. Self-contained and accessibly written, with exercises at the end of each chapter, this unrivalled treatment of the topic serves as an ideal introduction for graduate students across mathematics, computer science, and engineering, as well as a useful reference for researchers working in functional analysis or its applications.

This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.

This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.

The reconnection of magnetic fields is one of the most fascinating processes in plasma physics, responsible for phenomena such as solar flares and magnetospheric substorms. The concept of reconnection has developed through recent advances in exploring the magnetospheres of the Sun and Earth through theory, computer simulations and spacecraft observations. The great challenge in understanding it stems from balancing the large volumes of plasma and magnetic fields involved with the energy release with the physical mechanism which relies on the strongly localized behavior of charged particles. This book, edited by and with contributions from leading scientists in the field, provides a comprehensive overview of recent theoretical and observational findings concerning the physics of reconnection and the complex structures that may give rise to, or develop from, reconnection. It is intended for researchers and graduate students interested in the dynamics of plasmas.

This book is a basic introduction to the principles of circular particle accelerators and storage rings, for scientists, engineers and mathematicians. Particle accelerators used to be the exclusive province of physicists exploring the structure of the most fundamental constituents of matter. Nowadays, particle accelerators have also found uses as tools in many other areas, including materials science, chemistry, and medical science. Many people from these fields of study, as well as from particle physics, have learned about accelerators at various courses organised by CERN, the European Organisation for Nuclear Research which has established a reputation as the world's top accelerator facility. Kjell Johnsen and Phil Bryant, the authors of this book, are distinguished accelerator physicists who have also run the CERN Accelerator School. The text they present here starts with a historical introduction to the field and an outline of the basic concepts of particle acceleration and phase f

Western counterinsurgency doctrine proposes that cultural intelligence is an important requirement for those forces operating amidst the unfamiliar socio-political structures often found in distant conflict zones. Yet while the determination to understand the intricate nature of alien societies may appear a rational undertaking in such circumstances, Christian Tripodi argues that these endeavours rarely help deliver success. The frictions of war and the complex human, cultural and political 'terrain' of the operating environment render such efforts highly problematic. In their attempts to generate and instrumentalize local knowledge for the purpose of exerting influence and control, western military actors are drawn into the unwelcome realm of counterinsurgency as a form of political warfare. Their operating environment now becomes a space charged with phenomena that they rarely comprehend, rarely even see and which they struggle to exert any meaningful control over. All in pursuit of

Western counterinsurgency doctrine proposes that cultural intelligence is an important requirement for those forces operating amidst the unfamiliar socio-political structures often found in distant conflict zones. Yet while the determination to understand the intricate nature of alien societies may appear a rational undertaking in such circumstances, Christian Tripodi argues that these endeavours rarely help deliver success. The frictions of war and the complex human, cultural and political 'terrain' of the operating environment render such efforts highly problematic. In their attempts to generate and instrumentalize local knowledge for the purpose of exerting influence and control, western military actors are drawn into the unwelcome realm of counterinsurgency as a form of political warfare. Their operating environment now becomes a space charged with phenomena that they rarely comprehend, rarely even see and which they struggle to exert any meaningful control over. All in pursuit of

This work engages in the historical debate about the reasons for London's freedom from serious unrest in the later sixteenth century, when the city's rulers faced mounting problems caused by rapid population growth, spiralling prices, impoverishment and crime. One key to the city's stability was that Londoners were locked into a matrix of overlapping communities, the livery companies, wards and parishes, all of which created claims on their loyalties and gave them a framework within which redress of grievances could be pursued. The highly developed structures of government in the capital also enjoyed considerable success in mobilising resources for poor relief, while the authorities so impotent against it, as the traditional accounts would suggest. This is the first effort at a holistic approach to interpreting early modern London society, based on the full range of London sources.

Oriented matroids play the role of matrices in discrete geometry, when metrical properties, such as angles or distances, are neither required nor available. Thus they are of great use in such areas as graph theory, combinatorial optimization and convex geometry. The variety of applications corresponds to the variety of ways they can be defined. Each of these definitions corresponds to a differing data structure for an oriented matroid, and handling them requires computational support, best realised through a functional language. Haskell is used here, and, for the benefit of readers, the book includes a primer on it. The combination of concrete applications and computation, the profusion of illustrations, many in colour, and the large number of examples and exercises make this an ideal introductory text on the subject. It will also be valuable for self-study for mathematicians and computer scientists working in discrete and computational geometry.

The Earth is a dynamic system. Internal processes, together with external gravitational forces of the Sun, Moon and planets, displace the Earth's mass, impacting on its shape, rotation and gravitational field. D. E. Smylie provides a rigorous overview of the dynamical behaviour of the solid Earth, explaining the theory and presenting methods for numerical implementation. Topics include advanced digital analysis, earthquake displacement fields, Free Core Nutations observed by the Very Long Baseline Interferometric technique, translational modes of the solid inner core observed by the superconducting gravimeters, and dynamics of the outer fluid core. This book is supported by freeware computer code, available online for students to implement the theory. Online materials also include a suite of graphics generated from the numerical analysis, combined with 100 graphic examples in the book to make this an ideal tool for researchers and graduate students in the fields of geodesy, seismology

A. E. H. Love (1863–1940) was an English mathematician and geophysicist renowned for his work on elasticity and wave propagation. Originally published in 1927, as the fourth edition of a title first published in two volumes in 1892 and 1893, this is Love's classic account of the mathematical theory of elasticity. The text provides a detailed explanation of the topic in its various aspects, revealing important relationships with general physics and applications to engineering. Also included are a historical introduction to the theory, notes section, index of authors cited and index of matters treated. This book will be of value to anyone with an interest in elasticity, physics and mathematics.

Remote sensing and geographic information systems (GIS) are inherently linked technologies. Together, they form a powerful tool to measure, map, monitor and model resources and environmental data for both scientific and commercial applications. Originally published in 1997, this book brought together work by leaders in the field to address improved techniques, applications and research in integrated remote sensing and geographical information systems. Among the topics covered are image rectification, change detection, visualisation, computer modelling, local land use planning, requirements of GIS in global change research, and potential directions for research. Remote sensing and GIS play a key role in studies of water resources, air quality, topography, land cover, and population location and dynamics, and specialists working at the local, regional and global levels will find this book a valuable and stimulating resource.

This 1993 work surveys and summarizes the results of more than seventy years of investigation, by factor analysis, of a variety of cognitive abilities, with particular attention to language, thinking, memory, visual and auditory perception, creativity and the production of ideas, and the speed and accuracy of mental processing. The author describes his detailed findings resulting from reanalysis of more than 460 data sets from the factor-analytic literature, followed by a presentation of a hierarchical, three-stratum theory of cognitive ability and its implications for further research. A set of three computer disks (IBM 3-1/2" 1.4 megabytes, ASCII format) containing the numerical data sets and Dr. Carroll's statistical results is also available. Representing over 4 megabytes of data or roughly 2000 printed pages the disks are major resources for the interested researcher.

This 1993 work surveys and summarizes the results of more than seventy years of investigation, by factor analysis, of a variety of cognitive abilities, with particular attention to language, thinking, memory, visual and auditory perception, creativity and the production of ideas, and the speed and accuracy of mental processing. The author describes his detailed findings resulting from reanalysis of more than 460 data sets from the factor-analytic literature, followed by a presentation of a hierarchical, three-stratum theory of cognitive ability and its implications for further research. A set of three computer disks (IBM 3-1/2" 1.4 megabytes, ASCII format) containing the numerical data sets and Dr. Carroll's statistical results is also available. Representing over 4 megabytes of data or roughly 2000 printed pages the disks are major resources for the interested researcher.

G. I. Taylor was one of the most distinguished physical scientists of the last century, using his deep insight and originality and mathematical skill to increase greatly our understanding of phenomena such as the turbulent flow of fluids. His interest in the science of fluid flow was not confined to theory; he was one of the early pioneers of aeronautics, and designed a new type of anchor, now widely used in small boats throughout the world, that came about through his passion for sailing. Taylor spent most of his working life in the Cavendish Laboratory in Cambridge, where he investigated the mechanics of fluid and solid materials; his discoveries and ideas have had application throughout mechanical, civil and chemical engineering, meteorology, oceanography and material science. He was also a noted research leader, and his group in Cambridge became one of the most productive centres for the study of fluid mechanics. How was Taylor able to be innovative in so many different ways? Th

G. I. Taylor was one of the most distinguished physical scientists of the last century, using his deep insight and originality and mathematical skill to increase greatly our understanding of phenomena such as the turbulent flow of fluids. His interest in the science of fluid flow was not confined to theory; he was one of the early pioneers of aeronautics, and designed a new type of anchor, now widely used in small boats throughout the world, that came about through his passion for sailing. Taylor spent most of his working life in the Cavendish Laboratory in Cambridge, where he investigated the mechanics of fluid and solid materials; his discoveries and ideas have had application throughout mechanical, civil and chemical engineering, meteorology, oceanography and material science. He was also a noted research leader, and his group in Cambridge became one of the most productive centres for the study of fluid mechanics. How was Taylor able to be innovative in so many different ways? Th

The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on commutative algebra, group cohomology, homological algebra, and the theory of motives. Zeta and L-functions sit at the meeting point of all these theories and have played a profound role in shaping the evolution of number theory. This book presents a big picture of zeta and L-functions and the complex theories surrounding them, combining standard material with results and perspectives that are not made explicit elsewhere in the literature. Particular attention is paid to the development of the ideas surrounding zeta and L-functions, using quotes from original sources and comments throughout the book, pointing the reader towards the relevant history. Based on an advanced course given at Jussieu in 2013, it is an ideal introduction for graduate students and researchers to this fascinating story.

Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author.

A warm and witty book about the true meaning of family - featuring fruit, veg and families of all shapes and sizes - by creator of Avocado Asks, Momoko Abe.A warm and witty book about what makes a family - featuring fruit, veg and families of all shapes and sizes!When little Pearl makes the startling discovery that she's not a grape like the rest of the bunch, she begins to question EVERYTHING!Can they really be her family if she doesn't look like them?An adventure around the house might just help her find the answer she's looking for...From the creator of Avocado Asks comes another brilliantly original exploration of identity, celebrating all family structures - including chosen families, blended families and adoptive families.

A warm and witty book about the true meaning of family - featuring fruit, veg and families of all shapes and sizes - by creator of Avocado Asks, Momoko Abe.A warm and witty book about what makes a family - featuring fruit, veg and families of all shapes and sizes!When little Pearl makes the startling discovery that she's not a grape like the rest of the bunch, she begins to question EVERYTHING!Can they really be her family if she doesn't look like them?An adventure around the house might just help her find the answer she's looking for...From the creator of Avocado Asks comes another brilliantly original exploration of identity, celebrating all family structures - including chosen families, blended families and adoptive families.

Most of the time we communicate using language without considering the complex activity we are undertaking, forming words and sentences in a split second. This book introduces the analysis of language structure, combining both description and theory within a single, practical text. It begins by examining words and parts of words, and then looks at how words work together to form sentences that communicate meaning. Sentence patterns across languages are also studied, looking at the similarities and the differences we find in how languages communicate meaning. The book also discusses how context can affect how we structure our sentences: the context of a particular language and its structures, the context of old and new information for us and our addressee(s), and the context of our culture.

Most of the time we communicate using language without considering the complex activity we are undertaking, forming words and sentences in a split second. This book introduces the analysis of language structure, combining both description and theory within a single, practical text. It begins by examining words and parts of words, and then looks at how words work together to form sentences that communicate meaning. Sentence patterns across languages are also studied, looking at the similarities and the differences we find in how languages communicate meaning. The book also discusses how context can affect how we structure our sentences: the context of a particular language and its structures, the context of old and new information for us and our addressee(s), and the context of our culture.

During the second year of his daughter's life, Michael Tomasello kept a detailed diary of her language, creating a rich database. He made a careful study of how she acquired her first verbs and analysed the role that verbs played in her early grammatical development. Using a Cognitive Linguistics framework, the author argues persuasively that the child's earliest grammatical organization is verb-specific (the Verb Island hypothesis). He argues further that early language is acquired by means of very general cognitive and social-cognitive processes, especially event structures and cultural learning. The richness of the database and the analytical tools used make First Verbs a particularly useful and important book for developmental psychologists, linguists, language development researchers and speech pathologists.

During the second year of his daughter's life, Michael Tomasello kept a detailed diary of her language, creating a rich database. He made a careful study of how she acquired her first verbs and analysed the role that verbs played in her early grammatical development. Using a Cognitive Linguistics framework, the author argues persuasively that the child's earliest grammatical organization is verb-specific (the Verb Island hypothesis). He argues further that early language is acquired by means of very general cognitive and social-cognitive processes, especially event structures and cultural learning. The richness of the database and the analytical tools used make First Verbs a particularly useful and important book for developmental psychologists, linguists, language development researchers and speech pathologists.

This book was first published in 1988. It looks at the history of OPEC, and the political and economic events that have shaped the organisation and the world economy since its creation in 1960. It covers the background to its establishment, the years in which it struggled to find a role, and the critical years of 1970–73 which revolutionised attitudes and structures in the oil industry. It deals with the success and failure of OPEC as an international player in the post-1973 period, and the effect of the Iranian revolution and the Iran–Iraq war on the organisation, and its efforts to run a cartel in the 1980s. A final chapter looks at post-1985 OPEC and its expectations for the immediate future.

This book is a comprehensive study of political thought at the court of King Alfred the Great (871–99). It explains the extraordinary burst of royal learned activity focused on inventive translations from Latin into Old English attributed to Alfred's own authorship. A full exploration of context establishes these texts as part of a single discourse which placed Alfred himself at the heart of all rightful power and authority. A major theme is the relevance of Frankish and other European experiences, as sources of expertise and shared concerns, and for important contrasts with Alfredian thought and behaviour. Part I assesses Alfred's rule against West Saxon structures, showing the centrality of the royal household in the operation of power. Part II offers an intimate analysis of the royal texts, developing far-reaching implications for Alfredian kingship, communication and court culture. Comparative in approach, the book places Alfred's reign at the forefront of wider European trends in

This book is a comprehensive study of political thought at the court of King Alfred the Great (871–99). It explains the extraordinary burst of royal learned activity focused on inventive translations from Latin into Old English attributed to Alfred's own authorship. A full exploration of context establishes these texts as part of a single discourse which placed Alfred himself at the heart of all rightful power and authority. A major theme is the relevance of Frankish and other European experiences, as sources of expertise and shared concerns, and for important contrasts with Alfredian thought and behaviour. Part I assesses Alfred's rule against West Saxon structures, showing the centrality of the royal household in the operation of power. Part II offers an intimate analysis of the royal texts, developing far-reaching implications for Alfredian kingship, communication and court culture. Comparative in approach, the book places Alfred's reign at the forefront of wider European trends in

Dr. Jorg Mayer has assembled an expert panel of authors on the topic of nutrition in exotic animals. Articles include: Prescription diets for exotic pets, Supplements for exotic pets, Nutrition for re

These essays by leading theorists and researchers in sociocultural, cognitive, developmental and educational psychology honour the memory of Sylvia Scribner, whose work is recognized by each of the authors as seminal to their own thinking. The themes include the relationship between history and culture, the importance of context to thinking, the place of literacy in human activity and thought, and cognition in school and in the workplace. The volume presents applications of activity theory to fundamental issues in human behaviour at work, in school, and in problem solving situations, and it analyses historical-societal processes in science and culture. Scribner's conviction that science holds a responsibility to human welfare and understanding is carried on in these chapters. Sociocultural Psychology is crucial reading for researchers and graduate students in sociocultural, cognitive, developmental and educational psychology.

These essays by leading theorists and researchers in sociocultural, cognitive, developmental and educational psychology honour the memory of Sylvia Scribner, whose work is recognized by each of the authors as seminal to their own thinking. The themes include the relationship between history and culture, the importance of context to thinking, the place of literacy in human activity and thought, and cognition in school and in the workplace. The volume presents applications of activity theory to fundamental issues in human behaviour at work, in school, and in problem solving situations, and it analyses historical-societal processes in science and culture. Scribner's conviction that science holds a responsibility to human welfare and understanding is carried on in these chapters. Sociocultural Psychology is crucial reading for researchers and graduate students in sociocultural, cognitive, developmental and educational psychology.

Freshwater is a valuable resource for human populations, and has many uses such as water for drinking, hydroelectric power and recreation. This creates conflict between conservation and exploitation. This book explores various aspects of conservation evaluation, including the selection of important areas for protection, responding to threats from catchment development, and determining the restoration potential of degraded water bodies. Aimed at academic researchers, graduate students and professionals, chapters are written by pairs of UK and US authors, who compare methods used for evaluating rivers and lakes for conservation in these countries who share a long history of freshwater science, but approach nature conservation very differently. Sweden, Australia and South Africa are also examined, and there is a chapter on developing countries, allowing examination of the role of social and economic conditions in conservation ethics.

Freshwater is a valuable resource for human populations, and has many uses such as water for drinking, hydroelectric power and recreation. This creates conflict between conservation and exploitation. This book explores various aspects of conservation evaluation, including the selection of important areas for protection, responding to threats from catchment development, and determining the restoration potential of degraded water bodies. Aimed at academic researchers, graduate students and professionals, chapters are written by pairs of UK and US authors, who compare methods used for evaluating rivers and lakes for conservation in these countries who share a long history of freshwater science, but approach nature conservation very differently. Sweden, Australia and South Africa are also examined, and there is a chapter on developing countries, allowing examination of the role of social and economic conditions in conservation ethics.

A comprehensive update of rhinoplasty for the oral and maxillofacial surgeon! Topics include basics of primary cosmetic rhinoplasty, facial analysis, anatomy of the nose for rhinoplasty, septoplasty i

The lives of massive galaxies are affected by many key processes, including gas accretion and star formation, feedback and quenching, black hole growth, mass assembly, galaxy mergers and interactions, chemical enrichment and stellar populations, dark matter, galaxy haloes, and satellite accretion. These proceedings of IAU Symposium 295 discuss recent progress in galaxy formation and evolution, and plan ahead for future challenges. They cover, from both theoretical and observational perspectives, the lives of massive galaxies from the formation of the first galaxies in the early Universe, through their evolution with cosmic time to massive galaxies in the local Universe. Key contributions deal with recent and near-future advances in telescope technology and massive galaxy surveys as well as computer power for large-scale simulations. IAU S295 benefits advanced students and active researchers who need an up-to-date review of galaxy formation and evolution and its future prospects.

The boreal forests of the world, geographically situated to the south of the Arctic and generally north of latitude 50 degrees, are considered to be one of the earth's most significant terrestrial ecosystems in terms of their potential for interaction with other global scale systems, such as climate and anthropologenic activity. This book, developed by an international panel of ecologists, provides a synthesis of the important patterns and processes which occur in boreal forests and reviews the principal mechanisms which control the forests' pattern in space and time. The effects of cold temperatures, soil ice, insects, plant competition, wildfires and climatic change on the boreal forests are discussed as a basis for the development of the first global scale computer model of the dynamical change of a biome, able to project the change of the boreal forest over timescales of decades to millennia, and over the global extent of this forest.

The exploration and colonisation of the Pacific is a remarkable episode of human prehistory. Early sea-going explorers had no prior knowledge of Pacific geography, no documents to record their route, no metal, no instruments for measuring time and none for exploration. Forty years of modern archaeology, experimental voyages in rafts, and computer simulations of voyages have produced an enormous range of literature on this controversial and mysterious subject. This book represents a major advance in knowledge of the settlement of the Pacific by suggesting that exploration was rapid and purposeful, undertaken systematically, and that navigation methods progressively improved. Using an innovative model to establish a detailed theory of navigation, Geoffrey Irwin claims that rather than sailing randomly downwind in search of the unknown, Pacific Islanders expanded settlement by the cautious strategy of exploring upwind, so as to ease their safe return. The author has tested this hypothesis

This text is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. It aims at providing some insight into basic abstract analysis which is now the contextual language of much modern mathematics. Although it is assumed that the student will have familiarity with elementary real and complex analysis and linear algebra and have studied a course in the analysis of metric spaces, a knowledge of integration theory or general topology is not required. The theme of this text concerns structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. But the implications of the general theory are illustrated with a great variety of example spaces.

In this book the authors present their research into the foundations of the theory of Polish groups and the associated orbit equivalence relations. The particular case of locally compact groups has long been studied in many areas of mathematics. Non-locally compact Polish groups occur naturally as groups of symmetries in such areas as logic (especially model theory), ergodic theory, group representations, and operator algebras. Some of the topics covered here are: topological realizations of Borel measurable actions; universal actions; applications to invariant measures; actions of the infinite symmetric group in connection with model theory (logic actions); dichotomies for orbit spaces (including Silver, Glimm-Effros type dichotomies and the topological Vaught conjecture); descriptive complexity of orbit equivalence relations; definable cardinality of orbit spaces.